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Finding the Fourth Proportional to 617,550,208.10, 925,475,006.55 and 409,697,728.10

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Solution

The fourth proportional to 617,550,208.10, 925,475,006.55 and 409,697,728.10 is: 613,982,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,550,208.10 : 925,475,006.55 = 409,697,728.10 : x
  2. Step 2: Convert to fraction form
    617,550,208.10/925,475,006.55 = 409,697,728.10/x
  3. Step 3: Cross multiply
    617,550,208.10x = 925,475,006.55 × 409,697,728.10
  4. Step 4: Simplify right side
    617,550,208.10x = 379,165,007,596,867,648
  5. Step 5: Solve for x
    x = 379,165,007,596,867,648/617,550,208.10
  6. Step 6: Final answer
    x = 613,982,478.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.